Pith Number

pith:T3D7NLHG

pith:2001:T3D7NLHGAO3RPV3U64SDVWY4JA

not attested not anchored not stored refs pending

Regularization of Ill-Posed Problems with Unbounded Operators

A.G. Ramm

arxiv:math-ph/0111014 v1 · 2001-11-08 · math-ph · cs.NA · math.MP · math.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T3D7NLHGAO3RPV3U64SDVWY4JA}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-06-03T22:06:14.318905Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ec7f6ace603b717d774f7243adb1c480ce9c7abf77d11cdc78cf8af61b3296f

Aliases

arxiv: math-ph/0111014 · arxiv_version: math-ph/0111014v1 · doi: 10.48550/arxiv.math-ph/0111014 · pith_short_12: T3D7NLHGAO3R · pith_short_16: T3D7NLHGAO3RPV3U · pith_short_8: T3D7NLHG

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/T3D7NLHGAO3RPV3U64SDVWY4JA \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 9ec7f6ace603b717d774f7243adb1c480ce9c7abf77d11cdc78cf8af61b3296f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7ba3b5fc33141018338e52eef488949fb39a27ec3e4c76eea0954d7d8c619a8",
    "cross_cats_sorted": [
      "cs.NA",
      "math.MP",
      "math.NA"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2001-11-08T20:51:55Z",
    "title_canon_sha256": "ba61148f81928cd1f368cfb2e07280be5fd2c69aba8dd78ffb77ea0b1d3657cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0111014",
    "kind": "arxiv",
    "version": 1
  }
}